The anisotropic characteristics of stratified rock mass are described by ubiquitous-joint model; the calculation method of safety factor based on ubiquitous-joint model is proposed; then the relationships between stratification dip angle , inclination and slope stability are analyzed by FLAC3D. The results show that (1) for bedding rock slope, when the angle between inclination of slope and rock stratum is small, the slope safety factor decreases, increases and then decreases with the increase of ; when 20-30°, the safety factor reaches the minimum value; while 60°, it reaches maximum value; different failure modes cause the variations of safety factor; when is large, the relationship curve shows the decrease then increase trend to gradually increase; according to the value of , the stratified rock slope can be divided into two types: 45° for strict bedding rock slope; 45° 90°for oblique stratified slope; (2) for reverse layered slope, when 45°, the relationship curve shows the trend of increase, decrease and then increase; the variation degree of each curve is almost the same with the variations of ; during decrease process, the slope of curve decreases gradually with the increase of , and the anisotropic characteristics of slope safety factor become small; when 45°, the relationship curve shows the trend of monotone increasing in nonlinear form; (3) the relationship between slope safety factor and shows that for bedding rock slope, the safety factor increases with the increase of ; for reverse layered slope, when is small ( 150°), the slope safety factor decreases with the increase of ; and with the increase of ( 120°), the slope safety factor increases while increases.